A researcher has Critical Value(s) = Test Statistic = p-Value = H₂:μ=22 H:μ>22 with 38 samples having a mean of 22.8 and with =1.6. She wants to test at the 91% level (separate with a comma if there are two)

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**Hypothesis Testing: Example Problem**

**Scenario:**

A researcher is testing the following hypotheses:

- Null Hypothesis (\(H_0\)): \(\mu = 22\)
- Alternative Hypothesis (\(H_a\)): \(\mu > 22\)

She has a sample size of 38 with a sample mean of 22.8 and a population standard deviation (\(\sigma\)) of 1.6. The significance level for the test is set at 91%.

**Required Information:**

- **Critical Value(s):** (Separate multiple values with a comma)
  
- **Test Statistic:**
  
- **p-Value:**
  
The researcher wants to determine if there is enough evidence to support the claim that the true population mean is greater than 22 at the 91% confidence level.
Transcribed Image Text:**Hypothesis Testing: Example Problem** **Scenario:** A researcher is testing the following hypotheses: - Null Hypothesis (\(H_0\)): \(\mu = 22\) - Alternative Hypothesis (\(H_a\)): \(\mu > 22\) She has a sample size of 38 with a sample mean of 22.8 and a population standard deviation (\(\sigma\)) of 1.6. The significance level for the test is set at 91%. **Required Information:** - **Critical Value(s):** (Separate multiple values with a comma) - **Test Statistic:** - **p-Value:** The researcher wants to determine if there is enough evidence to support the claim that the true population mean is greater than 22 at the 91% confidence level.
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